Variational Principle for Relativistic Fluid Dynamics
High Energy Physics - Phenomenology
2016-08-15 v1 Astrophysics
General Relativity and Quantum Cosmology
Fluid Dynamics
Abstract
The variational principle for the special and general relativistic hydrodynamics are discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable ansatz for the dynamical variables such as density profile of the system. As an example, the relativistic version of spherical droplet motion (Rayleigh-Plesset equation) is derived from a simple Lagrangian. For the general relativistic case the most general Lagrangian for spherically symmetric systems is given.
Cite
@article{arxiv.hep-ph/9910208,
title = {Variational Principle for Relativistic Fluid Dynamics},
author = {Hans-Thomas Elze and Yogiro Hama and Takeshi Kodama and Martín Makler and Johann Rafelski},
journal= {arXiv preprint arXiv:hep-ph/9910208},
year = {2016}
}
Comments
20 pages, 1 figure